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Finding the Fourth Proportional to 202,335.96, 303,657.10 and 113,664.04

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Solution

The fourth proportional to 202,335.96, 303,657.10 and 113,664.04 is: 170,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,335.96 : 303,657.10 = 113,664.04 : x
  2. Step 2: Convert to fraction form
    202,335.96/303,657.10 = 113,664.04/x
  3. Step 3: Cross multiply
    202,335.96x = 303,657.10 × 113,664.04
  4. Step 4: Simplify right side
    202,335.96x = 34,514,892,760.68
  5. Step 5: Solve for x
    x = 34,514,892,760.68/202,335.96
  6. Step 6: Final answer
    x = 170,582.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.